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Finding the Fourth Proportional to 650,492.76, 975,177.81 and 313,069.19

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Solution

The fourth proportional to 650,492.76, 975,177.81 and 313,069.19 is: 469,333.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,492.76 : 975,177.81 = 313,069.19 : x
  2. Step 2: Convert to fraction form
    650,492.76/975,177.81 = 313,069.19/x
  3. Step 3: Cross multiply
    650,492.76x = 975,177.81 × 313,069.19
  4. Step 4: Simplify right side
    650,492.76x = 305,298,122,206.79
  5. Step 5: Solve for x
    x = 305,298,122,206.79/650,492.76
  6. Step 6: Final answer
    x = 469,333.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.